In(3x + 2) = 4 In(x – 1) – In(x – 3) = 1 2 In(x) = In(4) + In(x + 3)

Q: Log=5x-L09(2xte) + Loa Gx-5)=4

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Q: express the equation in exponential form  a)log3 (9)=2 b) log3 (1)=0 c)log8 (2)=1/3 d)log5…

A: Given query is to express the equation in exponential form

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma- log(x) +…

A: Given: logx+logx-4=log3x

Q: Igebraically solve log, (x + 1) + log, (x- 5) = 1

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Q: Solve the logarithmic equation for the unknown x. log(x – 5) = 3 X = 6

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Q: Solve for t using a logarithm with base a. 3a2 = 5 %3D t D |

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Q: Solve the given equation by hand.  log(x) = 4 what is x?

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Q: Solve for x by converting the logarithm equation log1\7 (x)=2 to exponential form.

A: We have the formula, loga(b)=m, then b=am

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: x*dx + y C x-) dy =0

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Q: The value of x in the logarithm equation In e2z+1 = 10 is O 18.25 O 2.05 O 25.05 O 4.50 O 10.75

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Q: Solve for x, and show all the steps: logg x + log:(x – 12) = 2 %3D

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Q: Solve for x by converting the logarithmic equation to exponential form.   log(x)=4   Enter the…

A: When ax = N  then x = logaN where a = base of logarithm and N is the positive number not equal to 1…

Q: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

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Q: use logarithms to solve the equation for t  1/5 e^-4t =0.9

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Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: Use the definition of a logarithm to solve the equation. 2 log(3n + 4) + 2 = 6 n =

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Q: Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

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Q: Use common logarithms to solve for x in terms of y

A: Let take 10x=t then 10-x=t-1. Now, replace 10x with t in y=10x+10-x2 and solve it.…

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

Q: et2 =D40

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Q: Solve e-3x = 2 using the natural logarithm function.

A: Given equation - e-3x = 2Taking ln on both sides - lne-3x = ln2-3xlne = ln2…

Q: Find the domain and solve: log,2,/2 -x

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Q: Find all real solutions of the equation: log x = 2 - log ( x - 21 )

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Q: Solve the equation for x. a).  log3 (3x-2) = 2                                b).  42x-1 = 8x+3

A: a)given equation is log3(3x-2)=2we know that logn(x)=r can be written as nr=x32=(3x-2)9=3x-2∴x=113

Q: Solve the log equation log2(x + 3) + log,(x - 3) = 4

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Q: Use logarithms to solve the equation 3^(x^2-4)=2 for x.

A: Given data:     The given expression is: 3(x^2-4)=2.     Write the given expression can be written…

Q: Use logarithms to solve the following parts  A) 9 x-10=1 B) 2e 6x =13 C) 4e 3x+3-7=53 D) e2x -…

A: We are going to solve only first three subpart and for the remaining subpart please post the…

Q: Solve for x the equation 2 x b4 logbx = 486

A: Given Solve for x the equation 2 x b4 logbx = 486

Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

Q: Find the solution of the logarithmic equation log2(x2 + 6x - 12) = 2

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Q: Write the log equation as an exponential equation. You do not need to solve for x. log (5x + 4) =…

A: Given: log8 (5x + 4) =3x -4 Taking base of 8 on both the sides: => 5x+4 = 83x-4 OR =>5x+4 =…

Q: e7x = 3x − 4

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Q: Algebraically solve for x using log properties: log2 x + log2(x – 3) = 2.

A: The given equation is, log2x+log2x-3=2 As, logx is defined only for x>0, thus solution of this…

Q: Find x and express your answer in terms of natural logarithms. e 3X = 6

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Q: Solve for x and check the answer : log4(x+3) + log4(x-3)=2

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Q: solution

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Q: Log, x= 34 x=3/4 16

A: The given logarithm is: log16x=34 To find the value of x.

Q: For what values of x is the equation  logb x8 = 8 logb x  true?

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Q: Solve the logarithmic equation for x. log2x + log2(x - 3) = 2

A: Given equation: log2x+log2x-3=2

Q: Use logarithms to solve. e2x – ex – 90 = 0 %3D -

A: Solve: e2x - ex -90=0

Q: Convert the exponential equation 7 = x into a logarithmic equation in the form log, r y

A: Given exponential function :79=x

Q: 9. Solve for x in the equation log, e+ Inx = 4. A) x = 2+ /3 B) x= 3+ /2 C) x=3± /3 D) x= 4+ /3

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Q: Solve the logarithmic equation for x. log,(x + 3) - log,(x-3) - 2

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Q: Solve the exponential equation 2=3^2x+1 for x by converting to logarithmic form and isolating the…

A: We need to solve the following equation 2 = 32x+1                                     ........(1)